What is the Greatest Common Factor of 7258 and 7274?

Greatest common factor (GCF) of 7258 and 7274 is 2.

GCF(7258,7274) = 2

We will now calculate the prime factors of 7258 and 7274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7258 and 7274.

How to find the GCF of 7258 and 7274?

We will first find the prime factorization of 7258 and 7274. After we will calculate the factors of 7258 and 7274 and find the biggest common factor number .

Step-1: Prime Factorization of 7258

Prime factors of 7258 are 2, 19, 191. Prime factorization of 7258 in exponential form is:

7258 = 2¹ × 19¹ × 191¹

Step-2: Prime Factorization of 7274

Prime factors of 7274 are 2, 3637. Prime factorization of 7274 in exponential form is:

7274 = 2¹ × 3637¹

Step-3: Factors of 7258

List of positive integer factors of 7258 that divides 7258 without a remainder.

1, 2, 19, 38, 191, 382, 3629

Step-4: Factors of 7274

List of positive integer factors of 7274 that divides 7258 without a remainder.

1, 2, 3637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7258 and 7274. The biggest common factor number is the GCF number.
So the greatest common factor 7258 and 7274 is 2.

Also check out the Least Common Multiple of 7258 and 7274